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212012120201220 = 223252834161996863
BaseRepresentation
bin110000001101001011101011…
…000111001101100000000100
31000210200011100012000011210100
4300031023223013031200010
5210242101310232414340
62030525005021324100
762441240660333613
oct6015135307154004
91023604305004710
10212012120201220
116160a920788779
121b941452106630
13913b8709aa961
143a4d62718d87a
151979dc6075830
hexc0d2eb1cd804

212012120201220 has 72 divisors (see below), whose sum is σ = 645375881719296. Its totient is φ = 56336789524032.

The previous prime is 212012120201159. The next prime is 212012120201251. The reversal of 212012120201220 is 22102021210212.

It is a happy number.

212012120201220 is a `hidden beast` number, since 2 + 1 + 201 + 21 + 20 + 201 + 220 = 666.

It is a super-2 number, since 2×2120121202012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212012120201193 and 212012120201202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080947492 + ... + 2081049371.

It is an arithmetic number, because the mean of its divisors is an integer number (8963553912768).

Almost surely, 2212012120201220 is an apocalyptic number.

212012120201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012120201220 is an abundant number, since it is smaller than the sum of its proper divisors (433363761518076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212012120201220 is a wasteful number, since it uses less digits than its factorization.

212012120201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161997161 (or 4161997156 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212012120201220 its reverse (22102021210212), we get a palindrome (234114141411432).

The spelling of 212012120201220 in words is "two hundred twelve trillion, twelve billion, one hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 566 849 1132 1415 1698 2547 2830 3396 4245 5094 5660 8490 10188 12735 16980 25470 50940 4161996863 8323993726 12485990589 16647987452 20809984315 24971981178 37457971767 41619968630 49943962356 62429952945 74915943534 83239937260 124859905890 149831887068 187289858835 249719811780 374579717670 749159435340 1177845112229 2355690224458 3533535336687 4711380448916 5889225561145 7067070673374 10600606010061 11778451122290 14134141346748 17667676683435 21201212020122 23556902244580 35335353366870 42402424040244 53003030050305 70670706733740 106006060100610 212012120201220